Target Exam

CUET

Subject

Physics

Chapter

Electric Charges and Fields

Question:

A charge q is enclosed by a Gaussian spherical surface of radius R. If the radius is reduced to half of R, the outward electric flux will be

Options:

reduced to half of its initial value

the same as its initial value

twice its initial value

four times its initial value

Correct Answer:

the same as its initial value

Explanation:

The correct answer is Option (2) → the same as its initial value

According to Gauss's law:

$\Phi_E = \frac{q_\text{enclosed}}{\epsilon_0}$

The electric flux depends only on the total charge enclosed and not on the radius of the Gaussian surface.

∴ Reducing the radius to half, the outward electric flux remains the same